Question

2 6/7 : 5/6 - 9/14 ​=?

Answer 1

Відповідь:

Покрокове пояснення:

20/7*6/5-9/14

4/7*6-9/14

24/7-9/14=39/14

Answer 2

To solve this expression, we'll follow the order of operations: first perform the subtraction inside the parentheses, and then simplify the resulting fraction.

Given the expression: $2 \frac{6}{7} - \frac{5}{6} - \frac{9}{14}$

Step 1: Convert the mixed number $2 \frac{6}{7}$ to an improper fraction: $2 \frac{6}{7} = \frac{2 \cdot 7 + 6}{7} = \frac{20}{7}$

Step 2: Subtract the fractions: $\frac{20}{7} - \frac{5}{6} - \frac{9}{14}$

To subtract fractions, you need a common denominator. The least common multiple (LCM) of 7, 6, and 14 is 42. So, we'll rewrite the fractions with the common denominator of 42:

$\frac{20 \cdot 6}{7 \cdot 6} - \frac{5 \cdot 7}{6 \cdot 7} - \frac{9 \cdot 3}{14 \cdot 3}$

$\frac{120}{42} - \frac{35}{42} - \frac{27}{42}$

Step 3: Perform the subtraction: $\frac{120 - 35 - 27}{42} = \frac{58}{42}$

Step 4: Simplify the fraction: To simplify, we can divide both the numerator and the denominator by their greatest common divisor, which is 2:

$\frac{58 \div 2}{42 \div 2} = \frac{29}{21}$

So, $2 \frac{6}{7} - \frac{5}{6} - \frac{9}{14} = \frac{29}{21}$.